## Linear Operators: Spectral Theory : Self Adjoint Operators in Hilbert Space, Volume 2 |

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Page 2373

The

Steven P . Hoffman , Jr . [ 1 ] . B . Friedman and L . I . Mishoe [ 1 ] studied

expansions in terms of the

— u ...

The

**eigenfunction**expansion theory of these intermediate cases is the subject ofSteven P . Hoffman , Jr . [ 1 ] . B . Friedman and L . I . Mishoe [ 1 ] studied

expansions in terms of the

**eigenfunctions**of the equation u " + g ( t ) u + 16p ( t ) u— u ...

Page 2374

function in terms of

operator has been discussed by many authors . In addition , it is desirable to

know when the ...

**EIGENFUNCTION**EXPANSIONS . The question of the expansion of a givenfunction in terms of

**eigenfunctions**( or generalized**eigenfunctions**) of anoperator has been discussed by many authors . In addition , it is desirable to

know when the ...

Page 2538

Orthogonality of the

Arch . Rat . Mech . Anal . 19 , 71 – 73 ( 1965 ) . 4 . On the

expansion connected with the exterior problem for the Schrödinger equation .

Japanese J ...

Orthogonality of the

**eigenfunctions**for the exterior problem connected with - 4 .Arch . Rat . Mech . Anal . 19 , 71 – 73 ( 1965 ) . 4 . On the

**eigenfunction**expansion connected with the exterior problem for the Schrödinger equation .

Japanese J ...

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### Contents

SPECTRAL OPERATORS XV Spectral Operators | 1924 |

Introduction | 1925 |

Terminology and Preliminary Notions | 1928 |

Copyright | |

32 other sections not shown

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### Common terms and phrases

analytic apply arbitrary assumed B-space Banach space Boolean algebra Borel sets boundary conditions bounded bounded Borel bounded operator Chapter clear clearly closure commuting compact complex consider constant contained converges Corollary corresponding countably additive defined Definition denote dense determined differential operator domain elements equation equivalent established example exists extension fact finite follows formula given gives Hence Hilbert space hypothesis identity inequality integral invariant inverse Lemma limit linear linear operator manifold Math Moreover multiplicity norm normal positive preceding present problem projections PROOF properties prove range regular resolution resolvent respectively restriction Russian satisfies scalar type seen sequence shown shows spectral measure spectral operator spectrum statement strongly subset subspace sufficiently Suppose Theorem theory topology unbounded uniformly unique valued vector weakly zero